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118005990400 = 210521921132
BaseRepresentation
bin110110111100110110…
…1001000010000000000
3102021121001002102120001
41231321231020100000
53413134013143100
6130113341525344
711345204240224
oct1557155102000
9367531072501
10118005990400
114605633a201
121aa53b73854
13b18805982c
1459d65aa784
153109dc7d6a
hex1b79b48400

118005990400 has 297 divisors, whose sum is σ = 311473798311. Its totient is φ = 44322324480.

The previous prime is 118005990373. The next prime is 118005990409. The reversal of 118005990400 is 4099500811.

The square root of 118005990400 is 343520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 60036760576 + 57969229824 = 245024^2 + 240768^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 118005990400.

It is not an unprimeable number, because it can be changed into a prime (118005990409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1044300744 + ... + 1044300856.

Almost surely, 2118005990400 is an apocalyptic number.

118005990400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

118005990400 is the 343520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118005990400

118005990400 is an abundant number, since it is smaller than the sum of its proper divisors (193467807911).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

118005990400 is an equidigital number, since it uses as much as digits as its factorization.

118005990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 118005990400 in words is "one hundred eighteen billion, five million, nine hundred ninety thousand, four hundred".